Question

for each pair of angle measures, decide if the angles are complementary, supplementary, or neither. complementary 12° and 78° supplementary 25° and 155° neither 50° and 50°

Explanation:

Step1: Check complementary angles

Complementary angles sum to \(90^{\circ}\).
For \(12^{\circ}\) and \(78^{\circ}\): \(12 + 78=90\)

Step2: Check supplementary angles

Supplementary angles sum to \(180^{\circ}\).
For \(25^{\circ}\) and \(155^{\circ}\): \(25 + 155 = 180\)

Step3: Check \(50^{\circ}\) and \(50^{\circ}\)

\(50+50 = 100
eq90\) and \(100
eq180\)

Answer:

• \(12^{\circ}\) and \(78^{\circ}\): Complementary
• \(25^{\circ}\) and \(155^{\circ}\): Supplementary
• \(50^{\circ}\) and \(50^{\circ}\): Neither